Q: Formula for vector

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You need to know that the cross product of two vectors is a vector perpendicular to both vectors. It is defined only in 3 space. The formula to find the cross product of vector a (vector a=[a1,a2,a3]) and vector b (vector b=[b1,b2,b3]) is: vector a x vector b = [a2b3-a3b2,a3b1-a1b3,a1b2-a2b1]

Hence the reason for why it is called Vector Calculus, Vector Calc. is simply an expansion in the calculus subject are in math. It deals with Taylor's Formula (in calc 2 you learn the taylor polynomial and the taylor series), theorems from Green, Gauss, and Stokes, and much more.

Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.

The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.

Vector spaces can be formed of vector subspaces.

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To find the direction of a vector, you can use the formula: θ = tan^(-1) (y/x), where θ is the angle of the vector with the positive x-axis, and (x, y) are the components of the vector along the x and y axes, respectively.

The length of a vector is the magnitude of the vector, which can be calculated using the Pythagorean theorem in a 2D vector (x, y) as sqrt(x^2 + y^2), or the magnitude formula for higher dimensions. It represents the distance from the origin to the point defined by the vector.

Torque can be calculated using the formula: Torque = Force x Distance. Where force is the amount of force applied and distance is the distance between the point of force application and the axis of rotation.

The formula for momentum is: momentum = mass x velocity. Momentum is a vector quantity and its direction is the same as the direction of the velocity of the object.

You need to know that the cross product of two vectors is a vector perpendicular to both vectors. It is defined only in 3 space. The formula to find the cross product of vector a (vector a=[a1,a2,a3]) and vector b (vector b=[b1,b2,b3]) is: vector a x vector b = [a2b3-a3b2,a3b1-a1b3,a1b2-a2b1]

The net force on an object is simply the vector sum of all forces that act on an object. For more information, do some reading about "vector sum".

The magnitude of the vector 3i + 4j is given by the formula |v| = sqrt((3^2) + (4^2)) = sqrt(9 + 16) = sqrt(25) = 5. Therefore, the magnitude of the vector is 5.

Resultant Force = (Force1) + (Force2) + (Force3)where each term in the formula is a Vector.

The formula for uniform velocity is: Velocity = Distance / Time.

The formula for velocity is ds/dt where s (which is a function of time) is the position vector of the object at time t, and d/dt represents the derivative with regard to time.The formula for average velocity is (final position vector - starting position vector)/time.

Velocity is a vector.Its magnitude is called 'speed'.

To calculate the magnitude of the resultant vector, you can use the Pythagorean theorem. Square the x-component of the vector, square the y-component of the vector, and sum them together. Finally, take the square root of the resulting sum. The formula is: |R| = sqrt((Rx^2) + (Ry^2)).